How easy is it to get to central Boston from this location on public transportation? What is an estimated cost of a taxi or uber?

Taxis in Winthrop are zoned fares so its like 6$ i think to train station beachmont in revere then blue line to State St or aquarium or government center

Uber around 15.00 to 20.00 dollars taxi depends on traffic could be more or less can take blue line mbta to green line or red line to downtown Boston

With no traffic, it takes 15 minutes. With traffic 30 minutes. You could take the Winthrop ferry, 20 minutes beautiful views and no traffic.